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Finding the Fourth Proportional to 189,650.58, 261,725.31 and 109,078.01

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Solution

The fourth proportional to 189,650.58, 261,725.31 and 109,078.01 is: 150,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,650.58 : 261,725.31 = 109,078.01 : x
  2. Step 2: Convert to fraction form
    189,650.58/261,725.31 = 109,078.01/x
  3. Step 3: Cross multiply
    189,650.58x = 261,725.31 × 109,078.01
  4. Step 4: Simplify right side
    189,650.58x = 28,548,474,672.81
  5. Step 5: Solve for x
    x = 28,548,474,672.81/189,650.58
  6. Step 6: Final answer
    x = 150,531.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.